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Finding the Fourth Proportional to 432.48, 648.68 and 124.32

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Solution

The fourth proportional to 432.48, 648.68 and 124.32 is: 186.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.48 : 648.68 = 124.32 : x
  2. Step 2: Convert to fraction form
    432.48/648.68 = 124.32/x
  3. Step 3: Cross multiply
    432.48x = 648.68 × 124.32
  4. Step 4: Simplify right side
    432.48x = 80,643.28
  5. Step 5: Solve for x
    x = 80,643.28/432.48
  6. Step 6: Final answer
    x = 186.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.